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Vilka [71]
3 years ago
12

A factory manager conducted a test on a random sample of 150 products. Of the products tested, 2 were found to be defective. Bas

ed on this information, how many products in a batch of 3000 are likely to be defective?
Mathematics
2 answers:
lions [1.4K]3 years ago
6 0

Answer:

40

Step-by-step explanation:

Write and solve a proportion:

2 / 150 = x / 3000

150x = 6000

x = 40

Phoenix [80]3 years ago
5 0

Answer:

40 products were likely to be defective.

Step-by-step explanation:

A factory worker conducted a test on a random sample of 150 products out of which 2 were found to be defected.

That means percentage of defective products was =

This concludes that 1.33% products were found to be defective.

Now based on this information we will find defective products in a batch of  3000 products.

Number of defective products = 3000×1.33% =  (3000).(1.33) over 100

Therefore 40 products were likely to be defective.

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Read 2 more answers
10. 10. If AB bisects CAF, and m&lt;EAF = 72°,<br>then the m&lt;BAF =​
never [62]

The measure of ∠BAF is 54°.

Solution:

DF and CE are intersecting lines.

m∠EAF = 72° and AB bisects ∠CAF.

∠EAF and ∠DAC are vertically opposite angles.

Vertical angle theorem:

<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>

∠DAC ≅ ∠EAF

m∠DAC = 72°

<em>Sum of the adjacent angles in a straight line = 180°</em>

m∠DAE + m∠EAF = 180°

m∠DAE + 72° = 180°

Subtract 72° from both sides.

m∠DAE = 108°

∠CAF and ∠DAE are vertically opposite angles.

⇒ m∠CAF = m∠DAE

⇒ m∠CAF = 108°

AB bisects ∠CAF means ∠CAB = ∠BAF

m∠CAB + m∠BAF = 108°

m∠BAF + m∠BAF = 108°

2 m∠BAF = 108°

Divide by 2 on both sides, we get

m∠BAF = 54°

Hence the measure of ∠BAF is 54°.

4 0
3 years ago
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Answer:

- 0.83

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